375268320 has 288 divisors, whose sum is σ = 1490711040. Its totient is φ = 84188160.

The previous prime is 375268307. The next prime is 375268321. The reversal of 375268320 is 23862573.

375268320 is a `hidden beast` number, since 3 + 75 + 268 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375268321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594405 + ... + 595035.

It is an arithmetic number, because the mean of its divisors is an integer number (5176080).

Almost surely, 2^375268320 is an apocalyptic number.

375268320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 375268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

375268320 is an abundant number, since it is smaller than the sum of its proper divisors (1115442720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

375268320 is a wasteful number, since it uses less digits than its factorization.

375268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 375268320 is about 19371.8434848106. The cubic root of 375268320 is about 721.2967372173.

The spelling of 375268320 in words is "three hundred seventy-five million, two hundred sixty-eight thousand, three hundred twenty".